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Finding the Fourth Proportional to 77,742, 107,287.20 and 45,938.16

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Solution

The fourth proportional to 77,742, 107,287.20 and 45,938.16 is: 63,396.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,742 : 107,287.20 = 45,938.16 : x
  2. Step 2: Convert to fraction form
    77,742/107,287.20 = 45,938.16/x
  3. Step 3: Cross multiply
    77,742x = 107,287.20 × 45,938.16
  4. Step 4: Simplify right side
    77,742x = 4,928,576,559.55
  5. Step 5: Solve for x
    x = 4,928,576,559.55/77,742
  6. Step 6: Final answer
    x = 63,396.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.